Use the nth term of an arithmetic sequence an = a₁ + (n-1)d to answer the followingquestions.1. What is the 10 th term of the arithmetic sequence 4, 9,14, 19, ...?2. What term of the arithmetic sequence 8, 14, 20, ... is 542?
Answer (1)
Answer:[tex]1. \: a_{n} = a_{1} + (n - 1)d \\ \\ a_{n} = a_{1} + (n - 1)d \\ a_{10} = 4 + (10 - 1)(5) \\ a_{10} = 4 + (9)(5) \\ a_{10} = 4 + 45 \\ a_{10} = 49 \\ \\ the \: 10th \: term \: of \: the \:arithmetic \: sequence \: is \: 49[/tex][tex]2. \: a_{n} = a_{1} + (n - 1)d \\ \\ a_{n} = a_{1} + (n - 1)d \\ 542 = 8 + (n - 1)(6) \\ 542 = 8 + 6n - 6 \\ 542 - 8 + 6 = 6n \\ 540 = 6n \\ \frac{540}{6} = \frac{6n}{6} \\ n = 90 \\ \\ 542 \: is \: the \: 90th \: term \: in \: the \: sequence[/tex]Step-by-step explanation:sana makatulong. galingan mo sa pag-aaral. isang brainliest lang, sapat na. salamat..
